%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COL109-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:09:10 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL109-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n019.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 14:11:34 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.17/0.52 % Refutation found
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.52 fof(f20,axiom,(
% 0.17/0.52 (![V_x,V_y,V_z]: (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,V_x),V_y),V_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ))),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f21,axiom,(
% 0.17/0.52 (![V_z,V_w,V_x,V_y]: (( ~ c_in(c_Pair(V_z,V_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| ~ c_in(c_Pair(V_x,V_y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(V_x,V_z),c_Comb_Ocomb_Oop_A_D_D(V_y,V_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ))),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f1404,negated_conjecture,(
% 0.17/0.52 c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f1405,negated_conjecture,(
% 0.17/0.52 c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f1406,negated_conjecture,(
% 0.17/0.52 c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f1407,negated_conjecture,(
% 0.17/0.52 (![V_U]: (( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),V_U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ) ))),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f1433,plain,(
% 0.17/0.52 ![X0,X1,X2]: (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,X0),X1),X2),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(X0,X2),c_Comb_Ocomb_Oop_A_D_D(X1,X2)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/0.52 fof(f1434,plain,(
% 0.17/0.52 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f21])).
% 0.17/0.52 fof(f2939,plain,(
% 0.17/0.52 c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f1404])).
% 0.17/0.52 fof(f2940,plain,(
% 0.17/0.52 c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f1405])).
% 0.17/0.52 fof(f2941,plain,(
% 0.17/0.52 c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f1406])).
% 0.17/0.52 fof(f2942,plain,(
% 0.17/0.52 ![X0]: (~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x_H),v_y_Ha),v_w),X0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f1407])).
% 0.17/0.52 fof(f2960,plain,(
% 0.17/0.52 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z)),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.17/0.52 inference(resolution,[status(thm)],[f1433,f2942])).
% 0.17/0.52 fof(f3289,plain,(
% 0.17/0.52 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))),
% 0.17/0.52 inference(resolution,[status(thm)],[f2960,f1434])).
% 0.17/0.52 fof(f3290,definition,(
% 0.17/0.52 sQ18_spl <=> (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.17/0.52 fof(f3292,plain,(
% 0.17/0.52 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_y_Ha,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ18_spl),
% 0.17/0.52 inference(component_clause,[status(thm)],[f3290])).
% 0.17/0.52 fof(f3293,definition,(
% 0.17/0.52 sQ19_spl <=> (c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.17/0.52 fof(f3295,plain,(
% 0.17/0.52 ~c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_xb,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x_H,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ19_spl),
% 0.17/0.52 inference(component_clause,[status(thm)],[f3293])).
% 0.17/0.52 fof(f3296,plain,(
% 0.17/0.52 ~sQ18_spl|~sQ19_spl),
% 0.17/0.52 inference(split_clause,[status(thm)],[f3289,f3290,f3293])).
% 0.17/0.52 fof(f3341,plain,(
% 0.17/0.52 ~c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ18_spl),
% 0.17/0.52 inference(resolution,[status(thm)],[f3292,f1434])).
% 0.17/0.52 fof(f3342,definition,(
% 0.17/0.52 sQ20_spl <=> (c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.17/0.52 fof(f3344,plain,(
% 0.17/0.52 ~c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ20_spl),
% 0.17/0.52 inference(component_clause,[status(thm)],[f3342])).
% 0.17/0.52 fof(f3345,definition,(
% 0.17/0.52 sQ21_spl <=> (c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.17/0.52 fof(f3347,plain,(
% 0.17/0.52 ~c_in(c_Pair(v_yb,v_y_Ha,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ21_spl),
% 0.17/0.52 inference(component_clause,[status(thm)],[f3345])).
% 0.17/0.52 fof(f3348,plain,(
% 0.17/0.52 ~sQ20_spl|~sQ21_spl|sQ18_spl),
% 0.17/0.52 inference(split_clause,[status(thm)],[f3341,f3342,f3345,f3290])).
% 0.17/0.52 fof(f3349,plain,(
% 0.17/0.52 $false|sQ21_spl),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f3347,f2941])).
% 0.17/0.52 fof(f3350,plain,(
% 0.17/0.52 sQ21_spl),
% 0.17/0.52 inference(contradiction_clause,[status(thm)],[f3349])).
% 0.17/0.52 fof(f3351,plain,(
% 0.17/0.52 $false|sQ20_spl),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f3344,f2939])).
% 0.17/0.52 fof(f3352,plain,(
% 0.17/0.52 sQ20_spl),
% 0.17/0.52 inference(contradiction_clause,[status(thm)],[f3351])).
% 0.17/0.52 fof(f3353,plain,(
% 0.17/0.52 ~c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|~c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ19_spl),
% 0.17/0.52 inference(resolution,[status(thm)],[f3295,f1434])).
% 0.17/0.52 fof(f3354,definition,(
% 0.17/0.52 sQ22_spl <=> (c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)))),
% 0.17/0.52 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.17/0.54 fof(f3356,plain,(
% 0.17/0.54 ~c_in(c_Pair(v_xb,v_x_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))|sQ22_spl),
% 0.17/0.54 inference(component_clause,[status(thm)],[f3354])).
% 0.17/0.54 fof(f3357,plain,(
% 0.17/0.54 ~sQ20_spl|~sQ22_spl|sQ19_spl),
% 0.17/0.54 inference(split_clause,[status(thm)],[f3353,f3342,f3354,f3293])).
% 0.17/0.54 fof(f3358,plain,(
% 0.17/0.54 $false|sQ22_spl),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f3356,f2940])).
% 0.17/0.54 fof(f3359,plain,(
% 0.17/0.54 sQ22_spl),
% 0.17/0.54 inference(contradiction_clause,[status(thm)],[f3358])).
% 0.17/0.54 fof(f3360,plain,(
% 0.17/0.54 $false),
% 0.17/0.54 inference(sat_refutation,[status(thm)],[f3296,f3348,f3350,f3352,f3357,f3359])).
% 0.17/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.42/0.56 % Elapsed time: 0.211710 seconds
% 0.42/0.56 % CPU time: 0.987841 seconds
% 0.42/0.56 % Total memory used: 170.004 MB
% 0.42/0.56 % Net memory used: 169.035 MB
%------------------------------------------------------------------------------